Question

Write the value of X for which tan-1(-1/X)=cot-1 x

Answer 1

Answer:

$\tan {}^{ - 1} ( - \frac{1}{x} ) = \cot {}^{ - 1} (x)$

$- \cot {}^{ - 1} (x) = \cot {}^{ - 1} (x)$

$2 \cot {}^{ - 1} (x) = 0$

$\cot {}^{ - 1} (x) = 0$

$x = \cot(0) = \infty$